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Finding the Third Proportional to 254,974.50 and 375,414.75

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Solution

The third proportional to 254,974.50 and 375,414.75 is: 552,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,974.50 : 375,414.75 = 375,414.75 : x
  2. Step 2: Convert to fraction form
    254,974.50/375,414.75 = 375,414.75/x
  3. Step 3: Cross multiply
    254,974.50x = 375,414.75 × 375,414.75
  4. Step 4: Simplify right side
    254,974.50x = 140,936,234,517.56
  5. Step 5: Solve for x
    x = 140,936,234,517.56/254,974.50
  6. Step 6: Final answer
    x = 552,746.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.